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Finding the Fourth Proportional to 6,400.12, 8,834.56 and 4,734.94

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Solution

The fourth proportional to 6,400.12, 8,834.56 and 4,734.94 is: 6,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.12 : 8,834.56 = 4,734.94 : x
  2. Step 2: Convert to fraction form
    6,400.12/8,834.56 = 4,734.94/x
  3. Step 3: Cross multiply
    6,400.12x = 8,834.56 × 4,734.94
  4. Step 4: Simplify right side
    6,400.12x = 41,831,111.53
  5. Step 5: Solve for x
    x = 41,831,111.53/6,400.12
  6. Step 6: Final answer
    x = 6,535.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.